Q65 / 90 · JEE Main 2024 (09 Apr Shift 2) · Physics

Five charges $+q,+5 q,-2 q,+3 q$ and $-4 q$ are situated as shown in the figure. The electric flux due to this configuration through the surface $S$ is : Figure

  • Correct answer
    A
    $\frac{4 q}{\epsilon_0}$
  • B
    $\frac{5 q}{\epsilon_0}$
  • C
    $\frac{q}{\epsilon_0}$
  • D
    $\frac{3 q}{\epsilon_0}$

Solution

As per gauss theorem, $\begin{aligned}& \phi=\frac{\mathrm{q}_{\text {in }}}{\epsilon_0}=\frac{\mathrm{q}+(-2 \mathrm{q})+5 \mathrm{q}}{\epsilon_0} \\ & \frac{4 \mathrm{q}}{\epsilon_0}\end{aligned}$

Hence, the correct answer is option: 'A'.

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